Sorry, no.
I think it's an officer's button, early 1800's.
Edit:
13th Light Dragoons shown here as being in Ireland in 1814:
http://archive.org/stream/thirteenth...e/n11/mode/2up
A googling gives:
Jan 44 to May 45: Exeter
Jul 45 to April 46: Cahir
Aug 46 to Sep 46: Dublin
Oct 46: Newbridge
Nov 46: Dublin
Dec 46 to Feb 47; Newbridge
April 47: Dublin
May 47 to Aug 47: Newbridge
Jan 48 to Aug 48: Longford
Nov 48 to Mar 1850: Dundalk
Apr 1850 to Apr 51: Edinburgh
Button shown here:
https://www.lot-art.com/auction-lots...era-23.6-early
http://www.colchestertreasurehunting...dregiments.htm